Hidden charm pentaquark $P_c(4380)$ and doubly charmed baryon ${\mathrm{\Xi }}_{cc}^{*}(4380)$ as hadronic molecule states

We study hadronic molecular states in a coupled system of $J/\psi N-{\mathrm{\Lambda }}_c{\overline{D}}^{(*)}-{\mathrm{\Sigma }}_c^{(*)}{\overline{D}}^{(*)}$ in the $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$ channel, using the complex scaling method combined with the Gaussian expansion method. We construct the potential including one pion exchange and one $D^{(*)}$ meson exchange with $S$-wave orbital angular momentum. We find that the contribution of the $J/\psi N$ channel is very small. We extend our analysis to a coupled system of ${\mathrm{\Lambda }}_c{D}^{(*)}-{\mathrm{\Sigma }}_c^{(*)}{D}^{(*)}$ in the $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$ channel. We find that there exists a doubly charmed baryon of $ccqq\overline{q}$ type as a hadronic molecule, the mass and width of which are quite close to those of $P_c(4380)$.